# Definition:Möbius Strip

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## Definition

A **Möbius strip** is a surface with boundary obtained by twisting a side of a rectangle by $180$ degrees, then joining the twisted side and the opposite side of it together.

## Also known as

Some sources (particularly American) use the term **Möbius band** on the grounds that the word **strip** may be considered inappropriate language to use in front of children and adolescents.

## Also see

## Source of Name

This entry was named for August Ferdinand Möbius.

## Sources

- 1989: Ephraim J. Borowski and Jonathan M. Borwein:
*Dictionary of Mathematics*... (previous) ... (next): Entry:**Möbius strip** - 1998: David Nelson:
*The Penguin Dictionary of Mathematics*(2nd ed.) ... (previous) ... (next): Entry:**Möbius strip (Möbius band)** - 2008: David Nelson:
*The Penguin Dictionary of Mathematics*(4th ed.) ... (previous) ... (next): Entry:**Möbius strip (Möbius band)** - 2014: Christopher Clapham and James Nicholson:
*The Concise Oxford Dictionary of Mathematics*(5th ed.) ... (previous) ... (next): Entry:**Möbius band (strip)**

- Weisstein, Eric W. "Möbius Strip." From
*MathWorld*--A Wolfram Web Resource. http://mathworld.wolfram.com/MoebiusStrip.html